Scala analysis: xen18-erlich-myna-07
4L 3s MOS for Myna, L=269.16, s=40.73
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 269.160 cents 269.160000 2: 309.890 cents 309.890000 3: 579.050 cents 579.050000 4: 619.780 cents 619.780000 5: 888.940 cents 888.940000 6: 929.670 cents 929.670000 7: 1198.830 cents 1198.830000
SHOW/INTERVAL
0: 269.1600 cents 269.1600 1: 269.1600 cents 269.1600 2: 40.7300 cents 40.7300 3: 269.1600 cents 269.1600 4: 40.7300 cents 40.7300 5: 269.1600 cents 269.1600 6: 40.7300 cents 40.7300 7: 269.1600 cents 269.1600
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 40.73000 cents 1: 4 269.16000 cents 2: 6 309.89000 cents 2: 1 538.32000 cents 3: 2 350.62000 cents 3: 5 579.05000 cents 4: 5 619.78000 cents 4: 2 848.21000 cents 5: 1 660.51000 cents 5: 6 888.94000 cents 6: 4 929.67000 cents 6: 3 1158.10000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 269.2 309.9 579.0 619.8 888.9 929.7 1198.8 269.2 : 40.7 309.9 350.6 619.8 660.5 929.7 1198.8 309.9 : 269.2 309.9 579.1 619.8 888.9 1158.1 1198.8 579.0 : 40.7 309.9 350.6 619.8 888.9 929.7 1198.8 619.8 : 269.2 309.9 579.0 848.2 888.9 1158.1 1198.8 888.9 : 40.7 309.9 579.0 619.8 888.9 929.7 1198.8 929.7 : 269.2 538.3 579.0 848.2 888.9 1158.1 1198.8 1198.8
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 40.7300 .. 269.1600 cents 228.43000 cents 40.73000 cents 2: 309.8900 .. 538.3200 cents 228.43000 cents 40.73000 cents 3: 350.6200 .. 579.0500 cents 228.43000 cents -187.70000 cents 4: 619.7800 .. 848.2100 cents 228.43000 cents 40.73000 cents 5: 660.5100 .. 888.9400 cents 228.43000 cents -187.70000 cents 6: 929.6700 .. 1158.1000 cents 228.43000 cents 40.73000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 40.73000 cents, class 1 Average step (divided formal octave): 171.2614 cents Largest one step interval : 269.16000 cents Average / Smallest step : 4.204798 Largest / Average step : 1.571632 Largest / Smallest step : 6.608397 Median interval of one step : 269.16000 cents, amount: 4 Most common interval of one step : 269.16000 cents, amount: 4 Least squares average step : 167.99814 cents, oct.: 1175.98700 cents Scale is not proper Scale has Myhill's property chromas: 228.43000 cents and 187.70000 cents, ratio: 1.216995 generators: 2 of 309.89000 cents and 5 of 888.94000 cents ET pair of linear temperament : 27&31 Scale is distributional even Scale is a mode of a 677-tone equal temperament with octave 1198.830 cents degrees: 152 175 327 350 502 525 677 generators: 175 and 502 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABABA Step pattern size order : LSLSLSL Scale is a Constant Structure, by a margin of 40.73000 cents Scale diversity : 1.040755 Lumma stability : 0.169874 Lumma impropriety factor : 0.313139 Rothenberg efficiency : 0.761905 redundancy: 0.238095 Efficiency x scale size : 5.333333 Number of different interval sizes : 12 = 2.00000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 2.00000 = 2 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 40.73000 cents Most common intervals : 309.89000 cents & inv., amount: 6 Scale is a chain of 3 triads 0.0 309.890 619.780 cents Most common triad is 0.0 309.890 888.940 cents, amount: 5 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Scale contains two identical disjunct tetrachords Formal octave complements present : 7 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 3-4 -- Rational properties --
FIT/MODE
7: 2 0 1 1 1 0 2 N T3 I SD: 55.3086 c. M: 73.3629 c. 8: 2 0 2 0 2 0 2 N M DE I SD: 20.3650 c. M: 30.5475 c. 15: 3 1 3 1 3 1 3 N M DE I SD: 19.5960 c. M: 29.3940 c. Superkleismic-7 17: 4 0 4 1 4 0 4 N T3 I SD: 18.2228 c. M:-27.8124 c. 18: 4 1 4 0 4 1 4 N T3 I SD: 16.5337 c. M:-23.1183 c. 19: 4 1 4 1 4 1 4 N M DE I SD: 11.1832 c. M: 16.7747 c. Oljare Diminished 23: 5 1 5 1 5 1 5 N M DE I SD: 5.6965 c. M: 8.5448 c. Starlingtet-7 27: 6 1 6 1 6 1 6 N M DE I SD: 1.8356 c. M: 2.7533 c. Myna-7 31: 7 1 7 1 7 1 7 N M DE I SD: 1.0290 c. M: 1.5435 c. Myna-7 58: 13 2 13 2 13 2 13 N M DE I SD: 0.3045 c. M: 0.4567 c. Myna-7 89: 20 3 20 3 20 3 20 N M DE I SD: 0.1600 c. M: 0.2400 c. 147: 33 5 33 5 33 5 33 N M DE I SD: 0.0233 c. M: 0.0349 c. 383: 86 13 86 13 86 13 86 N M DE I SD: 0.0193 c. M: 0.0290 c. 530: 119 18 119 18 119 18 119 N M DE I SD: 0.0075 c. M: 0.0113 c. 677: 152 23 152 23 152 23 152 N M DE I SD: 0.0008 c. M: 0.0012 c. 2178: 489 74 489 74 489 74 489 N M DE I SD: 0.0008 c. M: 0.0012 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 1.1700 cents 2 x x x 3 x x 4 S SD: 41.0917 cents 3 x x 4 x 5 x 6 S SD: 27.0476 cents 4 x 5 x 6 x 7:8 S SD: 29.7152 cents 5 x 6:7 x 8:9:10 S SD: 23.1867 cents 6:7 x 8:9:10 x 12 S SD: 23.1016 cents 7:8 x x 10 x 12:14 S SD: 9.5574 cents 8:9:10:11 x 13:14:16 SD: 20.2385 cents 9 x 11 x 13:15 x 18 SD: 10.3485 cents 10 x 12:14 x x 17:20 SD: 3.2409 cents 11:13 x 15:16:18:19:22 SD: 11.3104 cents 12:14 x x 17:20:21:24 SD: 8.5845 cents 13:15:16:18:19 x 22:26 SD: 11.6723 cents 14:16:17 x 20:23:24:28 SD: 9.1588 cents 15 x 18:21 x 25:26:30 SD: 4.8070 cents 16 x 19:22:23:27 x 32 SD: 7.1617 cents 17:20 x 24 x 28:29:34 SD: 6.7121 cents 18:21:22:25:26:30:31:36 SD: 6.3192 cents 19:22:23 x 27:32:33:38 SD: 6.8060 cents 20:23:24:28:29:33:34:40 SD: 6.2962 cents 21 x 25:29:30:35:36:42 SD: 3.7804 cents 22:26 x 31 x 37:38:44 SD: 6.3702 cents 23:27:28:32:33:38:39:46 SD: 5.9258 cents 24:28:29 x 34:40:41:48 SD: 4.1838 cents 25:29:30:35:36:42:43:50 SD: 3.1871 cents 27 x 32:38:39:45:46:54 SD: 4.6113 cents 28:33 x 39:40:47:48:56 SD: 3.0790 cents 29:34:35 x 41:48:50:58 SD: 5.6541 cents 30:35:36:42:43:50:51:60 SD: 2.0520 cents 33:39 x 46:47:55:56:66 SD: 4.4001 cents 34:40:41:48:49:57:58:68 SD: 4.2806 cents 35:41:42:49:50:58:60:70 SD: 2.4605 cents 42:49:50:59:60:70:72:84 SD: 2.0039 cents 55:64:66:77:79:92:94:110 SD: 1.7464 cents 58:68:69:81:83:97:99:116 SD: 1.7176 cents 60:70:72:84:86:100:103:120 SD: 1.5588 cents 65:76:78:91:93:109:111:130 SD: 1.3972 cents 70:82:84:98:100:117:120:140 SD: 1.3284 cents 76:89:91:106:109:127:130:152 SD: 1.0385 cents 106:124:127:148:152:177:181:212 SD: 0.9951 cents 107:125:128:150:153:179:183:214 SD: 0.8938 cents 113:132:135:158:162:189:193:226 SD: 0.8122 cents 118:138:141:165:169:197:202:236 SD: 0.5987 cents 149:174:178:208:213:249:255:298 SD: 0.4455 cents 179:209:214:250:256:299:306:358 SD: 0.3418 cents 249:291:298:348:356:416:426:498 SD: 0.2959 cents 332:388:397:464:475:555:568:664 SD: 0.2339 cents 398:465:476:556:569:665:681:795 SD: 0.2117 cents 423:494:506:591:605:707:724:845 SD: 0.1936 cents 453:529:542:633:648:757:775:905 SD: 0.1709 cents 511:597:611:714:731:854:874:1021 SD: 0.1276 cents 571:667:683:798:817:954:977:1141 SD: 0.1184 cents